the only real question I have is why do you want to reduce the propane foot print and go to more electrical? I'll polay the other side. unless your going to have plugins availble everywhere you go, now you will have to either use a generator to supply power and recharge batteries which in that case you are now burning gas instead of propane (propane burns way way cleaner) or you have to invest heavily in solar and battery banks which is just expensive and if you want to run the ac then you might as well take out a small mortage.
I am all for going solar and LiFePO4 batteries and being self suficient, but I do that in conjunction with using propane for the furnace, cooking and fridge to keep the over head costs down to a reasonable amount.
now to the bed, breaker panel in a box? does it have 12V fuses also? if so you might be out of luck as it would require a re wire of most of the rv to moce the power station, or at least some creative ideas, and forget thoes engineers, why do you think your having issues like this in ghe first place, go find a local redneck who is always working on stuff. I have been dealing with stupid ideas from engineers for as long as I can remember and most of the time I am embarassed to admit I am one.
If you are dead set on going electric for your cooking I would decide if you need a oven or not. if not use that space for a cubbord by putting a door on it for pots and pans and just go induction stove top. I do like your thought of induction as that is the most energy efficient version of an electric stove.
Now the fun part, how many burners do you think you need. 1, just get a portable induction stove. that way you can plug it in outside or in side and make that whole stove area counter top. or 2, you can get mountable single and dual burner rv spicific cook tops but I would be sceptical of the quality of them, the other route is to go with a smaller apartment sized induction top which are usaly about 24x24 or smaller. I have seen some side by side 2 burner versions from actual apliance manufactures instead of cheep rv apliance manufactures. normaly the two burner configuration for a rv is front/back to make more counter space but it is much easier to cook with a side by side setup.
THIS one kinda peaks my interest, it can be free standing or built in and is a side by side configuration. in addition it has both a power mode and a temprature mode. I use a induction samsung at home and I absolutly love it but this temp feature seams like it might be interesting, plus the price is deicent also.
now electrical, if your hell bent on going electrical how far do you want to go? what about the furnace? are you going to use AC, are you going to have 30 amp or larger power available when you are at these places? the first thing you have to do is figure out these questions then do a power audit to get a ball park idea of how much power you will use per day. then you have to look at what you will have availble for power. if you have 30 amp thats good you can run 1 ac and you can shut it off when you are cooking. if you have 50 amp you can do both at the same time and more. the other thing is what do you do if you only have 15amp plug ins, do you tun off all the lights to crank out a two dish meal? or do you inverst in battery storage and go with something like a victron multiplus 2 converter/charger or renogy's version that will combine shore power and battery power to let you do higher power apliances that you wouldnt normaly be able to do on 15amp power.
then there is the question of solar. but I won't get into that or batteries untill I know your power situation.
